Boundary Effects on Eigen-problems of Discrete Laplacian in Lattices

Yueh Cheng Kuo, Shih Feng Shieh*

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We consider how distribution of eigenvalues depends on boundary conditions of a discrete Laplacian operator on lattices. We study the Laplacian with boundary conditions given by a linear combination of Dirichlet and Neumann con-ditions. In particular, we derive a secular equation and investigate the Laplacian operator’s eigenvalues with different boundary conditions, including the interlacing property, the first eigenvalue gaps, and the monotonicity property.

原文英語
頁(從 - 到)1045-1068
頁數24
期刊Taiwanese Journal of Mathematics
26
發行號5
DOIs
出版狀態已發佈 - 2022 10月

ASJC Scopus subject areas

  • 數學(全部)

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